# (Solved): 1. (8 pts) A 50 foot tree casts a shadow of length $$x$$ feet. When standing at the tip of the sh ...

1. (8 pts) A 50 foot tree casts a shadow of length $$x$$ feet. When standing at the tip of the shadow, Frank notes that the line of the sight distance to the top of the tree is 95 feet. a. $$(3 \mathrm{pts})$$ Draw a dingram depicting this scemario. Include the angle of elevation $$\theta$$ from the tip of the shadow to the top of the tree. b. (2 pts) Find the length of the shadow $$x$$. b. ( $$2 p t s$$ ) Find the length of the shadow $$x$$. c. (3 pts) Define sine, cosine and tangent using the information from parts (a.) and (b.). 5. $$(8 \mathrm{pts})$$ Given the angle $$\theta=287^{\circ}$$, answer the following: a. $$(2 \mathrm{pts})$$ Convert the angle to radians. b. (2 pts) Determine a negative coterminal angle of $$\theta$$. c. (2 pts) Determine the reference angle $$\theta^{\prime}$$.

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Given: A 50feet tree casts a shadow of length x. When standing at the tip of the shadow, the line of sight distance to the top of the tree is 95feet.
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